86219044160 has 56 divisors (see below), whose sum is σ = 217386118440. Its totient is φ = 32458932224.

The previous prime is 86219044103. The next prime is 86219044199. The reversal of 86219044160 is 6144091268.

It can be written as a sum of positive squares in 4 ways, for example, as 6229629184 + 79989414976 = 78928^2 + 282824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7919105 + ... + 7929984.

Almost surely, 2^86219044160 is an apocalyptic number.

86219044160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86219044160 is an abundant number, since it is smaller than the sum of its proper divisors (131167074280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86219044160 is a wasteful number, since it uses less digits than its factorization.

86219044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15849123 (or 15849113 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 86219044160 in words is "eighty-six billion, two hundred nineteen million, forty-four thousand, one hundred sixty".